Editing keys for multiple layers and Effects/Transformations

I am working with many layers and want to edit a movement that includes several of them at once, and also have them move in the same interpolation as each other. How do I edit that in one move instead of editing each one individually? I know there a keys for only editing the Position (P), Opacity (T), etc, but what about more complex functions like something inside a Puppet effect?

I am using the latest edition of AE on a Windows 11.